n^2-16n+70=0

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Solution for n^2-16n+70=0 equation:


Simplifying
n2 + -16n + 70 = 0

Reorder the terms:
70 + -16n + n2 = 0

Solving
70 + -16n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-70' to each side of the equation.
70 + -16n + -70 + n2 = 0 + -70

Reorder the terms:
70 + -70 + -16n + n2 = 0 + -70

Combine like terms: 70 + -70 = 0
0 + -16n + n2 = 0 + -70
-16n + n2 = 0 + -70

Combine like terms: 0 + -70 = -70
-16n + n2 = -70

The n term is -16n.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16n + 64 + n2 = -70 + 64

Reorder the terms:
64 + -16n + n2 = -70 + 64

Combine like terms: -70 + 64 = -6
64 + -16n + n2 = -6

Factor a perfect square on the left side:
(n + -8)(n + -8) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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